You need stuff to move. Either the electrons need to move or the magnetic field needs to change (there are no “magnetic particles” the way we have electrons), either direction or strength or both.
So you can totally use a magnet to create electricity without physically moving the magnet, you just need to change the strength of the magnet. This is how transformers work.
Stuff sitting there, be it electrons or magnets, just…sits there. You need stuff changing to couple the electric and magnetic fields together.
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